Search a number
-
+
102112002202111 = 11238592593181201
BaseRepresentation
bin10111001101111011001101…
…100111100101100111111111
3111101112210221000001202120121
4113031323031213211213333
5101341000340030431421
61001101334535355411
730336230414513566
oct2715731547454777
9441483830052517
10102112002202111
112a599503209160
12b551ba6b22b67
1344c9174942995
141b30366754bdd
15bc127a53ed41
hex5cdecd9e59ff

102112002202111 has 32 divisors (see below), whose sum is σ = 116419008867840. Its totient is φ = 88654984704000.

The previous prime is 102112002202103. The next prime is 102112002202141. The reversal of 102112002202111 is 111202200211201.

It is not a de Polignac number, because 102112002202111 - 23 = 102112002202103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112002202141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563438311 + ... + 563619511.

It is an arithmetic number, because the mean of its divisors is an integer number (3638094027120).

Almost surely, 2102112002202111 is an apocalyptic number.

102112002202111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102112002202111 is a deficient number, since it is larger than the sum of its proper divisors (14307006665729).

102112002202111 is a wasteful number, since it uses less digits than its factorization.

102112002202111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184687.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112002202111 its reverse (111202200211201), we get a palindrome (213314202413312).

The spelling of 102112002202111 in words is "one hundred two trillion, one hundred twelve billion, two million, two hundred two thousand, one hundred eleven".

Divisors: 1 11 23 253 859 2593 9449 19757 28523 59639 181201 217327 656029 1993211 2227387 4167623 24501257 45843853 51229901 155651659 469854193 563528911 1712168249 3579988157 5168396123 10806646439 39379869727 118873110829 403604751787 4439652269657 9282909291101 102112002202111